๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Search

Search newform orbits

327 orbits; showing 201โ€“300 ยท JSON

LabelDimTrace formSignCMCurve
167.2.a.a22qโˆ’q2โˆ’q3โˆ’q4โˆ’2q5โˆ’2q6โˆ’5q7+O(q8)2q - q^{2} - q^{3} - q^{4} - 2q^{5} - 2q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
167.2.a.b1212q+2q2+3q3+14q4+4q5โˆ’6q6+11q7+O(q8)12q + 2q^{2} + 3q^{3} + 14q^{4} + 4q^{5} - 6q^{6} + 11q^{7} + O(q^{8})+1+1
168.2.a.a1qโˆ’q3+2q5+q7+O(q8)q - q^{3} + 2q^{5} + q^{7} + O(q^{8})168b1 rank 0
168.2.a.b1q+q3+2q5โˆ’q7+O(q8)q + q^{3} + 2q^{5} - q^{7} + O(q^{8})168a1 rank 0
169.2.a.a22q+4q3+2q4+O(q8)2q + 4q^{3} + 2q^{4} + O(q^{8})
169.2.a.b33qโˆ’2q2โˆ’2q3โˆ’4q5โˆ’q6โˆ’3q7+O(q8)3q - 2q^{2} - 2q^{3} - 4q^{5} - q^{6} - 3q^{7} + O(q^{8})
169.2.a.c33q+2q2โˆ’2q3+4q5+q6+3q7+O(q8)3q + 2q^{2} - 2q^{3} + 4q^{5} + q^{6} + 3q^{7} + O(q^{8})
170.2.a.a1qโˆ’q2โˆ’2q3+q4โˆ’q5+2q6+2q7+O(q8)q - q^{2} - 2q^{3} + q^{4} - q^{5} + 2q^{6} + 2q^{7} + O(q^{8})+1+1170b1 rank 0
170.2.a.b1qโˆ’q2โˆ’2q3+q4+q5+2q6โˆ’2q7+O(q8)q - q^{2} - 2q^{3} + q^{4} + q^{5} + 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1170a1 rank 1
170.2.a.c1qโˆ’q2+q3+q4+q5โˆ’q6+2q7+O(q8)q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1170d1 rank 0
170.2.a.d1qโˆ’q2+3q3+q4โˆ’q5โˆ’3q6+2q7+O(q8)q - q^{2} + 3q^{3} + q^{4} - q^{5} - 3q^{6} + 2q^{7} + O(q^{8})+1+1170e1 rank 0
170.2.a.e1q+q2+q3+q4โˆ’q5+q6+2q7+O(q8)q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1170c1 rank 0
170.2.a.f22q+2q2โˆ’q3+2q4+2q5โˆ’q6+2q7+O(q8)2q + 2q^{2} - q^{3} + 2q^{4} + 2q^{5} - q^{6} + 2q^{7} + O(q^{8})+1+1
171.2.a.a1qโˆ’q2โˆ’q4+2q5+O(q8)q - q^{2} - q^{4} + 2q^{5} + O(q^{8})171a1 rank 0
171.2.a.b1qโˆ’2q4โˆ’3q5โˆ’q7+O(q8)q - 2q^{4} - 3q^{5} - q^{7} + O(q^{8})171b1 rank 1
171.2.a.c1q+2q2+2q4โˆ’q5+3q7+O(q8)q + 2q^{2} + 2q^{4} - q^{5} + 3q^{7} + O(q^{8})171c1 rank 0
171.2.a.d1q+2q2+2q4+3q5โˆ’5q7+O(q8)q + 2q^{2} + 2q^{4} + 3q^{5} - 5q^{7} + O(q^{8})171d1 rank 0
171.2.a.e44q+10q4+2q7+O(q8)4q + 10q^{4} + 2q^{7} + O(q^{8})
172.2.a.a1qโˆ’2q3โˆ’4q7+O(q8)q - 2q^{3} - 4q^{7} + O(q^{8})172a1 rank 1
172.2.a.b22q+4q3+O(q8)2q + 4q^{3} + O(q^{8})
173.2.a.a44qโˆ’q2โˆ’6q3โˆ’q4โˆ’q5โˆ’9q7+O(q8)4q - q^{2} - 6q^{3} - q^{4} - q^{5} - 9q^{7} + O(q^{8})โˆ’1-1
173.2.a.b1010q+q2+8q3+13q4+q5โˆ’6q6+11q7+O(q8)10q + q^{2} + 8q^{3} + 13q^{4} + q^{5} - 6q^{6} + 11q^{7} + O(q^{8})+1+1
174.2.a.a1qโˆ’q2โˆ’q3+q4+3q5+q6โˆ’3q7+O(q8)q - q^{2} - q^{3} + q^{4} + 3q^{5} + q^{6} - 3q^{7} + O(q^{8})+1+1174e1 rank 0
174.2.a.b1qโˆ’q2+q3+q4โˆ’3q5โˆ’q6+5q7+O(q8)q - q^{2} + q^{3} + q^{4} - 3q^{5} - q^{6} + 5q^{7} + O(q^{8})+1+1174a1 rank 0
174.2.a.c1qโˆ’q2+q3+q4+2q5โˆ’q6+O(q8)q - q^{2} + q^{3} + q^{4} + 2q^{5} - q^{6} + O(q^{8})+1+1174d1 rank 0
174.2.a.d1q+q2โˆ’q3+q4+q5โˆ’q6+q7+O(q8)q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + q^{7} + O(q^{8})+1+1174c1 rank 0
174.2.a.e1q+q2+q3+q4โˆ’q5+q6+q7+O(q8)q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + q^{7} + O(q^{8})+1+1174b1 rank 0
175.2.a.a1qโˆ’2q2โˆ’q3+2q4+2q6+q7+O(q8)q - 2q^{2} - q^{3} + 2q^{4} + 2q^{6} + q^{7} + O(q^{8})175a1 rank 1
175.2.a.b1qโˆ’q3โˆ’2q4โˆ’q7+O(q8)q - q^{3} - 2q^{4} - q^{7} + O(q^{8})175b1 rank 1
175.2.a.c1q+2q2+q3+2q4+2q6โˆ’q7+O(q8)q + 2q^{2} + q^{3} + 2q^{4} + 2q^{6} - q^{7} + O(q^{8})175c1 rank 0
175.2.a.d22qโˆ’q2+2q3โˆ’q4+4q6โˆ’2q7+O(q8)2q - q^{2} + 2q^{3} - q^{4} + 4q^{6} - 2q^{7} + O(q^{8})
175.2.a.e22q+q2โˆ’2q3โˆ’q4+4q6+2q7+O(q8)2q + q^{2} - 2q^{3} - q^{4} + 4q^{6} + 2q^{7} + O(q^{8})
175.2.a.f22q+q2+q3+5q4โˆ’8q6+2q7+O(q8)2q + q^{2} + q^{3} + 5q^{4} - 8q^{6} + 2q^{7} + O(q^{8})
176.2.a.a1qโˆ’q3โˆ’3q5โˆ’2q7+O(q8)q - q^{3} - 3q^{5} - 2q^{7} + O(q^{8})176c1 rank 1
176.2.a.b1q+q3+q5+2q7+O(q8)q + q^{3} + q^{5} + 2q^{7} + O(q^{8})176b1 rank 0
176.2.a.c1q+3q3โˆ’3q5+2q7+O(q8)q + 3q^{3} - 3q^{5} + 2q^{7} + O(q^{8})176a1 rank 0
176.2.a.d22qโˆ’q3+3q5+2q7+O(q8)2q - q^{3} + 3q^{5} + 2q^{7} + O(q^{8})
177.2.a.a22qโˆ’3q2+2q3+3q4โˆ’6q5โˆ’3q6โˆ’7q7+O(q8)2q - 3q^{2} + 2q^{3} + 3q^{4} - 6q^{5} - 3q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
177.2.a.b22qโˆ’q2โˆ’2q3โˆ’q4+q6โˆ’7q7+O(q8)2q - q^{2} - 2q^{3} - q^{4} + q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
177.2.a.c22q+q2+2q3โˆ’q4+2q5+q6+q7+O(q8)2q + q^{2} + 2q^{3} - q^{4} + 2q^{5} + q^{6} + q^{7} + O(q^{8})+1+1
177.2.a.d33qโˆ’3q3+2q4โˆ’2q5+9q7+O(q8)3q - 3q^{3} + 2q^{4} - 2q^{5} + 9q^{7} + O(q^{8})+1+1
178.2.a.a1qโˆ’q2+2q3+q4+2q5โˆ’2q6+O(q8)q - q^{2} + 2q^{3} + q^{4} + 2q^{5} - 2q^{6} + O(q^{8})+1+1178b1 rank 0
178.2.a.b1q+q2+q3+q4+3q5+q6โˆ’4q7+O(q8)q + q^{2} + q^{3} + q^{4} + 3q^{5} + q^{6} - 4q^{7} + O(q^{8})+1+1178a1 rank 0
178.2.a.c22qโˆ’2q2โˆ’2q3+2q4โˆ’2q5+2q6โˆ’4q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} - 2q^{5} + 2q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
178.2.a.d33q+3q2+q3+3q4โˆ’q5+q6+O(q8)3q + 3q^{2} + q^{3} + 3q^{4} - q^{5} + q^{6} + O(q^{8})+1+1
179.2.a.a1q+2q2+2q4+3q5โˆ’4q7+O(q8)q + 2q^{2} + 2q^{4} + 3q^{5} - 4q^{7} + O(q^{8})+1+1179a1 rank 0
179.2.a.b33qโˆ’q2โˆ’2q3โˆ’q4โˆ’4q5โˆ’4q6โˆ’4q7+O(q8)3q - q^{2} - 2q^{3} - q^{4} - 4q^{5} - 4q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
179.2.a.c1111qโˆ’3q2+15q4+3q5+8q7+O(q8)11q - 3q^{2} + 15q^{4} + 3q^{5} + 8q^{7} + O(q^{8})+1+1
180.2.a.a1q+q5+2q7+O(q8)q + q^{5} + 2q^{7} + O(q^{8})180a1 rank 0
181.2.a.a55qโˆ’3q2โˆ’5q3+q4โˆ’5q5โˆ’2q6โˆ’2q7+O(q8)5q - 3q^{2} - 5q^{3} + q^{4} - 5q^{5} - 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
181.2.a.b99q+3q2+3q3+9q4+q5+2q7+O(q8)9q + 3q^{2} + 3q^{3} + 9q^{4} + q^{5} + 2q^{7} + O(q^{8})+1+1
182.2.a.a1qโˆ’q2+q3+q4+4q5โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} + q^{4} + 4q^{5} - q^{6} - q^{7} + O(q^{8})+1+1182c1 rank 0
182.2.a.b1qโˆ’q2+3q3+q4โˆ’3q6+q7+O(q8)q - q^{2} + 3q^{3} + q^{4} - 3q^{6} + q^{7} + O(q^{8})+1+1182e1 rank 0
182.2.a.c1q+q2+q4+2q5โˆ’q7+O(q8)q + q^{2} + q^{4} + 2q^{5} - q^{7} + O(q^{8})+1+1182a1 rank 0
182.2.a.d1q+q2+q3+q4+q6+q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{6} + q^{7} + O(q^{8})+1+1182b1 rank 0
182.2.a.e1q+q2+3q3+q4โˆ’4q5+3q6โˆ’q7+O(q8)q + q^{2} + 3q^{3} + q^{4} - 4q^{5} + 3q^{6} - q^{7} + O(q^{8})+1+1182d1 rank 0
183.2.a.a22qโˆ’2q2โˆ’2q3+2q4โˆ’2q5+2q6โˆ’2q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
183.2.a.b33q+q2โˆ’3q3+q4+6q5โˆ’q6+O(q8)3q + q^{2} - 3q^{3} + q^{4} + 6q^{5} - q^{6} + O(q^{8})+1+1
183.2.a.c66q+6q3+10q4+2q5+2q7+O(q8)6q + 6q^{3} + 10q^{4} + 2q^{5} + 2q^{7} + O(q^{8})+1+1
184.2.a.a1qโˆ’q3โˆ’4q5+2q7+O(q8)q - q^{3} - 4q^{5} + 2q^{7} + O(q^{8})184a1 rank 1
184.2.a.b1qโˆ’q3โˆ’2q5โˆ’4q7+O(q8)q - q^{3} - 2q^{5} - 4q^{7} + O(q^{8})184b1 rank 1
184.2.a.c1q+4q7+O(q8)q + 4q^{7} + O(q^{8})184c1 rank 0
184.2.a.d1q+3q3โˆ’2q7+O(q8)q + 3q^{3} - 2q^{7} + O(q^{8})184d1 rank 0
184.2.a.e22qโˆ’q3+4q5+O(q8)2q - q^{3} + 4q^{5} + O(q^{8})
185.2.a.a1qโˆ’2q2+q3+2q4โˆ’q5โˆ’2q6โˆ’5q7+O(q8)q - 2q^{2} + q^{3} + 2q^{4} - q^{5} - 2q^{6} - 5q^{7} + O(q^{8})โˆ’1-1185a1 rank 1
185.2.a.b1qโˆ’q3โˆ’2q4+q5โˆ’3q7+O(q8)q - q^{3} - 2q^{4} + q^{5} - 3q^{7} + O(q^{8})โˆ’1-1185b1 rank 1
185.2.a.c1q+q2โˆ’2q3โˆ’q4โˆ’q5โˆ’2q6โˆ’2q7+O(q8)q + q^{2} - 2q^{3} - q^{4} - q^{5} - 2q^{6} - 2q^{7} + O(q^{8})โˆ’1-1185c1 rank 1
185.2.a.d55qโˆ’q3+6q4+5q5โˆ’2q6+7q7+O(q8)5q - q^{3} + 6q^{4} + 5q^{5} - 2q^{6} + 7q^{7} + O(q^{8})+1+1
185.2.a.e55q+2q2+3q3+10q4โˆ’5q5โˆ’6q6+11q7+O(q8)5q + 2q^{2} + 3q^{3} + 10q^{4} - 5q^{5} - 6q^{6} + 11q^{7} + O(q^{8})+1+1
186.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’q5+q6+2q7+O(q8)q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1186a1 rank 0
186.2.a.b1qโˆ’q2+q3+q4+3q5โˆ’q6โˆ’2q7+O(q8)q - q^{2} + q^{3} + q^{4} + 3q^{5} - q^{6} - 2q^{7} + O(q^{8})+1+1186c1 rank 0
186.2.a.c1q+q2+q3+q4+q5+q6โˆ’2q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} - 2q^{7} + O(q^{8})+1+1186b1 rank 0
186.2.a.d22q+2q2โˆ’2q3+2q4+3q5โˆ’2q6+2q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} + 3q^{5} - 2q^{6} + 2q^{7} + O(q^{8})+1+1
187.2.a.a1q+q3โˆ’2q4+3q5+2q7+O(q8)q + q^{3} - 2q^{4} + 3q^{5} + 2q^{7} + O(q^{8})+1+1187a1 rank 0
187.2.a.b1q+2q2+2q4+4q5โˆ’5q7+O(q8)q + 2q^{2} + 2q^{4} + 4q^{5} - 5q^{7} + O(q^{8})+1+1187b1 rank 0
187.2.a.c22qโˆ’2q2+4q4โˆ’4q5โˆ’6q6โˆ’4q7+O(q8)2q - 2q^{2} + 4q^{4} - 4q^{5} - 6q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
187.2.a.d22q+4q2โˆ’q3+4q4+q5โˆ’2q6+3q7+O(q8)2q + 4q^{2} - q^{3} + 4q^{4} + q^{5} - 2q^{6} + 3q^{7} + O(q^{8})+1+1
187.2.a.e33qโˆ’2q2โˆ’3q3+2q4โˆ’7q5+4q6+O(q8)3q - 2q^{2} - 3q^{3} + 2q^{4} - 7q^{5} + 4q^{6} + O(q^{8})โˆ’1-1
187.2.a.f44q+q2+q3+5q4+3q5โˆ’4q6+O(q8)4q + q^{2} + q^{3} + 5q^{4} + 3q^{5} - 4q^{6} + O(q^{8})+1+1
188.2.a.a22qโˆ’3q3โˆ’2q5โˆ’7q7+O(q8)2q - 3q^{3} - 2q^{5} - 7q^{7} + O(q^{8})
188.2.a.b22q+q3+5q7+O(q8)2q + q^{3} + 5q^{7} + O(q^{8})
189.2.a.a1qโˆ’2q2+2q4โˆ’q5โˆ’q7+O(q8)q - 2q^{2} + 2q^{4} - q^{5} - q^{7} + O(q^{8})189a1 rank 1
189.2.a.b1qโˆ’2q4โˆ’3q5+q7+O(q8)q - 2q^{4} - 3q^{5} + q^{7} + O(q^{8})189b1 rank 1
189.2.a.c1qโˆ’2q4+3q5+q7+O(q8)q - 2q^{4} + 3q^{5} + q^{7} + O(q^{8})189c1 rank 0
189.2.a.d1q+2q2+2q4+q5โˆ’q7+O(q8)q + 2q^{2} + 2q^{4} + q^{5} - q^{7} + O(q^{8})189d1 rank 0
189.2.a.e22q+2q4+2q7+O(q8)2q + 2q^{4} + 2q^{7} + O(q^{8})
189.2.a.f22q+10q4โˆ’2q7+O(q8)2q + 10q^{4} - 2q^{7} + O(q^{8})
190.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’q5+q6โˆ’q7+O(q8)q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{7} + O(q^{8})โˆ’1-1190b1 rank 1
190.2.a.b1q+q2โˆ’3q3+q4โˆ’q5โˆ’3q6โˆ’5q7+O(q8)q + q^{2} - 3q^{3} + q^{4} - q^{5} - 3q^{6} - 5q^{7} + O(q^{8})โˆ’1-1190a1 rank 1
190.2.a.c1q+q2+q3+q4+q5+q6โˆ’q7+O(q8)q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} - q^{7} + O(q^{8})+1+1190c1 rank 0
190.2.a.d22qโˆ’2q2โˆ’q3+2q4+2q5+q6โˆ’q7+O(q8)2q - 2q^{2} - q^{3} + 2q^{4} + 2q^{5} + q^{6} - q^{7} + O(q^{8})+1+1
191.2.a.a22qโˆ’q2โˆ’2q3โˆ’q4โˆ’q5+q6โˆ’q7+O(q8)2q - q^{2} - 2q^{3} - q^{4} - q^{5} + q^{6} - q^{7} + O(q^{8})โˆ’1-1
191.2.a.b1414q+2q3+18q4+q5+5q6+3q7+O(q8)14q + 2q^{3} + 18q^{4} + q^{5} + 5q^{6} + 3q^{7} + O(q^{8})+1+1
192.2.a.a1qโˆ’q3โˆ’2q5โˆ’4q7+O(q8)q - q^{3} - 2q^{5} - 4q^{7} + O(q^{8})192a1 rank 1
192.2.a.b1qโˆ’q3+2q5+O(q8)q - q^{3} + 2q^{5} + O(q^{8})192d1 rank 0
192.2.a.c1q+q3โˆ’2q5+4q7+O(q8)q + q^{3} - 2q^{5} + 4q^{7} + O(q^{8})192b1 rank 0
192.2.a.d1q+q3+2q5+O(q8)q + q^{3} + 2q^{5} + O(q^{8})192c1 rank 0
193.2.a.a22qโˆ’3q2โˆ’2q3+3q4+3q6โˆ’q7+O(q8)2q - 3q^{2} - 2q^{3} + 3q^{4} + 3q^{6} - q^{7} + O(q^{8})โˆ’1-1
193.2.a.b55qโˆ’2q2โˆ’5q3+4q4โˆ’8q5โˆ’5q6โˆ’10q7+O(q8)5q - 2q^{2} - 5q^{3} + 4q^{4} - 8q^{5} - 5q^{6} - 10q^{7} + O(q^{8})โˆ’1-1
193.2.a.c88q+2q2+5q3+6q4+8q5โˆ’2q6+5q7+O(q8)8q + 2q^{2} + 5q^{3} + 6q^{4} + 8q^{5} - 2q^{6} + 5q^{7} + O(q^{8})+1+1

โ† previous ยท next โ†’